Congruence of Triangles Class 7 Worksheets

# Congruence of Triangles Class 7 Worksheets

Congruence of Triangles Class 7 Worksheets play an important role for strengthening the maths concepts.

## Congruence of Triangles Class 7 Worksheet 1 with Answers

1. In each of the following figures, state whether each of the pair of triangles are congruent or not. If yes, write the condition it satisfies.

2. Prove that Î”ABD and Î”BCD are congruent.

3. Each of the following pair of triangles are congruent. Write the measurements of the indicated sides and angles.

BAD, ACD, AC, BD                                                          ABD, ACD, CPD, BD

4. Fill in the blanks.

a. Two triangles are congruent, if two angles and one side of one triangle are equal to two angles and the corresponding side of the other triangle and the condition used for congruency is written as ___________.

b. In triangles ABC and PQR, AB = PQ, AC = QR and A = P, then two triangles are ___________.

c. The areas of congruent triangles are ___________

5. Choose the correct option.

a. Two triangles having equal sides and equal angles are said to be

i. congruent

ii. same

iii. unequal

iv. none of these

b. SAS for two triangles is a condition for

i. congruency

ii. shapes

iii. same

iv. none of these

c. The symbol used for congruency is

i.

ii. ~

iii. =

iv. >

d. In two right-angled triangles, if the hypotenuse and a side of one triangle equals the hypotenuse and the side of the other triangle respectively, then they are congruent by the condition

i. SAS

ii. SSS

iii. AAS

iv. RHS

## Congruence of Triangles Class 7 Worksheet 2

1. Match the following with the correct conditions of congruency:

2. Prove that the following triangles are congruent.

3. Prove that the following pairs of triangles are congruent and then write the measurement of the indicated sides and angles.

4. Draw each of the following figure and state whether the given pair of triangles are congruent or not. If yes, write the congruence condition they are satisfying.

a.    Î”ABD and Î”ADC     b. Î”ADC and Î”ABC        c. Î”ABC and Î”BCD

5. Choose the correct option.

a. Two equilateral triangles with equal sides are

i. congruent

ii. not congruent

iii. unequal

iv. none of these

b. In Î”ABC and Î”DEF, AB = EF, BC = DF and B = F, the two triangles are

i. congruent

ii. not congruent

iii. similar

iv. none of these

c. If three angles of a triangle are equal to three angles of another triangle, then they are

i. congruent by AAA

ii. not congruent

iii. congruent SAS

iv. none of these

Worksheet 1

1. a. Congruent    b. Congruent

2. Do it yourself

3. a. AC = 8 cm; BD = 5 cm

BAD = 32°; ACD = 30°

b. ABD = 35°; ACD = 30°

CPD = 115°; BD = 6 cm

4. a. ASA           b. not congruent

c. equal

5. a. i               b. i

c. i               d. iv

Worksheet 2

1. a. ii             b. iii

c. iv            d. i

2. Do it yourself

3. a. EF = 5 cm; DEF = 45°

ABC = 40°

b. QPR = 60°; PRS = 30°

PQ = 3 cm; SR = 4 cm

c. AB = 4 cm; ACB = 35°

DAB = 40°

4. a. Yes, Î”ABD Î”ADC; SAS

c. Yes, Î”ABC Î”BCD; AAS

5. a. i               b. i

c. ii

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